Search Results for author: Walter Schachermayer

Found 2 papers, 0 papers with code

From Bachelier to Dupire via Optimal Transport

no code implementations23 Jun 2021 Mathias Beiglböck, Gudmund Pammer, Walter Schachermayer

Famously mathematical finance was started by Bachelier in his 1900 PhD thesis where - among many other achievements - he also provides a formal derivation of the Kolmogorov forward equation.

A trajectorial approach to the gradient flow properties of Langevin-Smoluchowski diffusions

no code implementations20 Aug 2020 Ioannis Karatzas, Walter Schachermayer, Bertram Tschiderer

We revisit the variational characterization of conservative diffusion as entropic gradient flow and provide for it a probabilistic interpretation based on stochastic calculus.

Probability 60G44, 60H30, 60J60, 82C31, 94A17

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